**Math 544a – Algebraic Topology - Fall 2005**

In this graduate
course, we will study the basic topological invariants. We start with basic topological
notions like manifolds, topological equivalence, homotopy. Then we go over fundamental groups and
covering spaces. Then, we study the homology and cohomology
theories. Then, we see some important applications of these topological
invariants in topology.

Textbook: Algebraic
Topology, Allen Hatcher

http://www.math.cornell.edu/~hatcher/AT/ATpage.html

Grading: 40%
Midterms, 30% Final, 30% HWs.